I agree with them, actually. I think 35 years ago is far to recent to be considered classic. I can't think of anything newer then 1959 I'd call a 'classic car', and the CCCA's list (PDF here) doesn't have anything newer then 1947.
My opinion doesn't mean anything, I hardly care about any cars made before 1965. Theirs... sort of does, I guess, but you're free to ignore it.